dependence on initial conditions of solutions of ordinary differential equations
with the initial condition
Let be the solution of the above initial value problem defined as
where . Then there exist such that for all ( in the neighborhood of ) has a unique solution to the initial value problem above except for the initial value changed to . In addition is twice continouously differentialble function of over the interval .
|Title||dependence on initial conditions of solutions of ordinary differential equations|
|Date of creation||2013-03-22 13:37:19|
|Last modified on||2013-03-22 13:37:19|
|Last modified by||Daume (40)|